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Robots never know exactly where they are, what they see, or what they're doing.
They live in dynamic environments,
and must coexist with other, sometimes adversarial agents.
Robots are nonlinear systems that
can be underactuated, redundant, or constrained, giving rise
to complicated problems in automatic control.
Many of even the most fundamental computational problems in robotics
are provably hard.
Over the years, these are the issues that have driven
my group's research in robotics.
Topics of our research include visual servo control,
planning with uncertainty, pursuit-evasion games,
as well as mainstream problems from path planning
and computer vision.
The links to the left will take you to pages
that describe some of our results to date.
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The figure above shows some results for
motion planning for humanoid robots,
barrier coverage,
optimal paths for landmark-based navigation,
and
permutation-invariant formations
(clockwise from top left).
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